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Finding the Fourth Proportional to 2,353.86, 3,530.79 and 893.97

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Solution

The fourth proportional to 2,353.86, 3,530.79 and 893.97 is: 1,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.86 : 3,530.79 = 893.97 : x
  2. Step 2: Convert to fraction form
    2,353.86/3,530.79 = 893.97/x
  3. Step 3: Cross multiply
    2,353.86x = 3,530.79 × 893.97
  4. Step 4: Simplify right side
    2,353.86x = 3,156,420.34
  5. Step 5: Solve for x
    x = 3,156,420.34/2,353.86
  6. Step 6: Final answer
    x = 1,340.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.